We point out invalid results concerning a $q$-deformed Dirac oscillator in two dimensions (2D DO) studied by some authors. We propose another deformed variant of this model and obtain its exact energy eigenvalues and their associated eigenstates. We find in particular that the deformation breaks the infinite degeneracy of the energy spectrum, thereby changing drastically the dynamics of the oscillator. The behavior of the system in the presence of a constant transverse magnetic field is investigated in detail. The parallelism with Jaynes–Cummings (JC) and Anti-Jaynes–Cummings (AJC) models of quantum optics, and the zitterbewegung (ZB) phenomenon are also discussed.

我们指出了有关以下内容的无效结果： $q$一些作者研究了二维（2D DO）变形的狄拉克振荡器。我们提出该模型的另一变形形式，并获得其确切的能量本征值及其相关的本征态。我们特别发现，变形破坏了能谱的无限简并性，从而极大地改变了振荡器的动力学。详细研究了在恒定横向磁场存在下系统的行为。还讨论了量子光学的Jaynes-Cummings（JC）和Anti-Jaynes-Cummings（AJC）模型的并行性以及zitterbewegung（ZB）现象。